Kaltgeformte C/Z-Profile — Biegung, BDK, Stegtraglast, Durchbiegung
Inputs
Ergebnisse
| Check | Demand / Capacity | η |
|---|---|---|
| Bending Mc,Rd (§6.1.4) | 5.7 kNm / 13.6 kNm |
42%
|
| LTB Mb,Rd (§6.2.4) | 5.7 kNm / 13.6 kNm |
42%
|
| Web crippling Rw,Rd (§6.1.7) | 3.8 kN / 5.8 kN |
66%
|
| Deflection δ (EN 1990 A1) | 18.7 mm / L/200 = 30.0 mm |
62%
|
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Dead + live = 0.60 kN/m², wind suction = 0.45 kN/m².
Line load: w = 0.60 × 1.5 = 0.90 kN/m (gravity), w_wind = 0.45 × 1.5 = 0.675 kN/m
ULS: w_Ed = max(0.90 × 1.40, 0.675 × 1.50) = max(1.26, 1.01) = 1.26 kN/m
M_Ed = w_Ed × L² / 8 = 1.26 × 6² / 8 = 5.67 kNm
W_gross = I_y / (h/2) = 4.56×10⁶ / 100 = 45 600 mm³ Reduction factor (pre-computed for local buckling) = 0.85 W_eff = 0.85 × 45 600 = 38 760 mm³
Mc,Rd = W_eff × f_yb / γ_M0 = 38 760 × 350 / 1.0 = 13.57 kNm η (bending) = M_Ed / Mc,Rd = 5.67 / 13.57 = 0.418 → PASS
Sheeting provides continuous lateral restraint → χLT = 1.0 per §6.2.4(1).
Mb,Rd = χLT × Mc,Rd = 13.57 kNm. η = 0.418.
Support reaction: R = 1.26 × 6 / 2 = 3.78 kN R_w,Rd (C1=5.0, s_s=100mm, t=2.0, f_yb=350) ≈ 15.3 kN η (web crippling) = 3.78 / 15.3 = 0.247 → PASS
I_eff = 0.85 × 4.56×10⁶ = 3.876×10⁶ mm⁴ δ = 5 × w_char × L⁴ / (384 × E × I_eff) = 5 × (0.90×1000/1000) × 6000⁴ / (384 × 210 000 × 3.876×10⁶) ≈ 6.3 mm Limit L/200 = 6000/200 = 30 mm → 6.3 / 30 = 0.21 PASS ✓
C200×65×20×2.0 at S350GD is well within capacity for these loads. Could step down to C150 or upgrade to continuous span system for tighter grid.